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- W1184258554 abstract "We consider a system of equations for the description of nonlinear waves in a liquid with gas bubbles. Taking into account high order terms with respect to a small parameter, we derive a new nonlinear partial differential equation for the description of density perturbations of mixture in the two-dimensional case. We investigate integrability of this equation using the Painlev'e approach. We show that travelling wave reduction of the equation is integrable under some conditions on parameters. Some exact solutions of the equation derived are constructed. We also perform numerical investigation of the nonlinear waves described by the derived equation." @default.
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- W1184258554 date "2015-10-01" @default.
- W1184258554 modified "2023-10-18" @default.
- W1184258554 title "Extended two dimensional equation for the description of nonlinear waves in gas–liquid mixture" @default.
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- W1184258554 doi "https://doi.org/10.1016/j.amc.2015.06.095" @default.
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